Finding the Third Proportional to 103,680 and 160,380

Step by Step Solution

1. Step 1: Write the proportion equation
   103,680 : 160,380 = 160,380 : x
2. Step 2: Convert to fraction form
   103,680/160,380 = 160,380/x
3. Step 3: Cross multiply
   103,680x = 160,380 × 160,380
4. Step 4: Simplify right side
   103,680x = 25,721,744,400
5. Step 5: Solve for x
   x = 25,721,744,400/103,680
6. Step 6: Final answer
   x = 248,087.81